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Finding the Third Proportional to 157,761 and 212,571

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Solution

The third proportional to 157,761 and 212,571 is: 286,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,761 : 212,571 = 212,571 : x
  2. Step 2: Convert to fraction form
    157,761/212,571 = 212,571/x
  3. Step 3: Cross multiply
    157,761x = 212,571 × 212,571
  4. Step 4: Simplify right side
    157,761x = 45,186,430,041
  5. Step 5: Solve for x
    x = 45,186,430,041/157,761
  6. Step 6: Final answer
    x = 286,423.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.